
Answer:
To fix the mixture to the correct shade of red, you can add 9 quarts of red, 7 quarts of yellow and 4 quarts of white. Â
Step-by-step explanation:
The problem tell us the a specific shade of red nail polish needs the following ratio: Â 7 parts red to 2 parts yellow to 5 parts white or 7:2:5. Â However, the current mixture contains a ratio of 40:7:31 and does not follow the same ratio as the given mixture. Â In order to fix the mixture to make the correct shade, we will need to add additional quarts of each color in order to make our ratio a multiple of 7:2:5. Â Given that 40 quarts is between the multiples of 42 and 49 for the number 7 and 31 is between the multiples of 35 and 40 for the number 5, it would make the most sense to multiply each number in the ratio by 7 to get: Â 49:14:35 and add the difference in the quarts to the mixture. Â 49 - 40 = 9 quarts red; 14 - 7 = 7 quarts yellow; 35 - 31 = 4 quarts white. Â